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Finding the Fourth Proportional to 18,655.68, 25,744.02 and 10,157.82

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Solution

The fourth proportional to 18,655.68, 25,744.02 and 10,157.82 is: 14,017.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,655.68 : 25,744.02 = 10,157.82 : x
  2. Step 2: Convert to fraction form
    18,655.68/25,744.02 = 10,157.82/x
  3. Step 3: Cross multiply
    18,655.68x = 25,744.02 × 10,157.82
  4. Step 4: Simplify right side
    18,655.68x = 261,503,121.24
  5. Step 5: Solve for x
    x = 261,503,121.24/18,655.68
  6. Step 6: Final answer
    x = 14,017.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.